There's aren't many regular skills that deal physical damage, just critical hit, omnistrike, and berserk which are all kind of lackluster. Most physical damage skills come from swapping your weapons repeatedly to throw out all their individual unique skills. I'd recommend the true vorpal blade if you have it (ng+ only) as the three ultimate slashes does a lot of damage, can't miss, and have no cooldown. Kishingatana (+10 uchigatana) is also excellent, the attacks have no cooldown as well and includes a spammable aoe and the weapon itself gives 100% critical. Han's machine gun is also very strong at +10 as long as the enemy doesn't counter. Slaughter's axe is also very useful since it gives 2x damage on bleeding enemies. Since you're in the dlc, you should have found god's angel in the hospital, it's at the end of a long room on the 4th floor (need high sen to see the corpse). It's one of, if not THE, strongest weapons in the game once it ramps up.